Distribute and Combine Like Terms

Front

What does it mean to combine like terms in an algebraic expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

How do you distribute a term across a parenthesis in an expression?

Back

To distribute a term, multiply it by each term inside the parentheses. For example, a(b + c) = ab + ac.

Front

What is the result of simplifying the expression -6x + 4(-x - 3)?

Back

The result is -10x - 12.

Front

What is the result of simplifying the expression x + 4 - 7(x - 5)?

Back

The result is -6x + 39.

Front

What is the result of simplifying the expression 8x + 3(7x - 6)?

Back

The result is 29x - 18.

Front

What is the result of simplifying the expression 2(4 + 9w)?

Back

The result is 8 + 18w.

Front

What is the result of simplifying the expression 7 + 3(1 - 2x)?

Back

The result is 10 - 6x.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic term.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, represented by a number without a variable.

Front

What is the difference between a term and an expression in algebra?

Back

A term is a single mathematical entity (like 3x or -5), while an expression is a combination of terms (like 3x - 5 + 2y).